Exact and approximate solutions with a priori error bounds for systems of time-dependent wave equations

DOI10.1016/S0895-7177(97)00182-9zbMath0889.35058OpenAlexW2078174939MaRDI QIDQ1376759

D. Goberna, Pedro Almenar, Lucas Jodar

Publication date: 21 January 1998

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0895-7177(97)00182-9

zbMATH Keywords

accuracymultistep method\(B\)-spline functionmatrix separation of variables

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Wave equation (35L05) Series solutions to PDEs (35C10) Theoretical approximation in context of PDEs (35A35)

Related Items

Numerical solution with a priori error bounds of coupled time dependent hyperbolic systems ⋮ Numerical solutions with a priori error bounds for coupled self-adjoint time dependent partial differential systems ⋮ Analytic-numerical solution with a priori error bounds for coupled time-dependent telegraph equations: Mixed problems.

Cites Work

• Uniform asymptotics for the incomplete gamma functions starting from negative values of the parameters
• Uniqueness of solution for mixed problems related to the generalized wave equation
• Inertia characteristics of self-adjoint matrix polynomials
• An arms race with deteriorating armaments
• Numerical multisteps matrix methods for \(Y=f(t,Y)\)
• Accurate continuous numerical solutions of time dependent mixed partial differential problems
• Continuous numerical solutions and error bounds for time dependent systems of partial differential equations: Mixed problems
• A matrix approach to the analytic-numerical solution of mixed partial differential systems
• Stability in the wave equation coupled with heat flow
• Applications of analysis on nilpotent groups to partial differential equations
• Computing accurate solutions for coupled systems of second order partial differential equations II
• Magnetohydrodynamic flow in a rectangular duct
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